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Contents of the UniMath library

Foundations README

  • Preamble: Basics of the UniMath type theory: universes, type constructors, some base types, notation
  • PartA: Path algebra, contractibility, homotopy fibers, weak equivalences, sums
  • PartB: Homotopy levels
  • UnivalenceAxiom: Univalence Axiom (UA), proof of function extensionality from UA
  • PartC: Decidability
  • PartD: Spaces of weak equivalences
  • Propositions: Intuitionistic logic on propositions, propositional truncation
  • Sets: Constructions of set-level quotients

MoreFoundations README

Mirrors the file structure of Foundations, contains convenient variants of results in Foundations